Magnetic monopole in the Feynman's derivation of Maxwell equations

Citation
A. Berard et al., Magnetic monopole in the Feynman's derivation of Maxwell equations, J MATH PHYS, 40(8), 1999, pp. 3732-3737
Citations number
6
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
40
Issue
8
Year of publication
1999
Pages
3732 - 3737
Database
ISI
SICI code
0022-2488(199908)40:8<3732:MMITFD>2.0.ZU;2-L
Abstract
In 1992, Dyson published Feynman's proof of the homogeneous Maxwell equatio ns assuming only the Newton's law of motion and the commutation relations b etween position and velocity for a nonrelativistic particle. Recently Tanim ura gave a generalization of this proof in a relativistic context. Using th e Hodge duality we extend his approach in order to derive the two groups of Maxwell equations with a magnetic monopole in flat and curved spaces. (C) 1999 American Institute of Physics. [S0022-2488(99)00408-9].